Finding the Third Proportional to 144,005 and 191,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,005 : 191,088.50 = 191,088.50 : x
2. Step 2: Convert to fraction form
   144,005/191,088.50 = 191,088.50/x
3. Step 3: Cross multiply
   144,005x = 191,088.50 × 191,088.50
4. Step 4: Simplify right side
   144,005x = 36,514,814,832.25
5. Step 5: Solve for x
   x = 36,514,814,832.25/144,005
6. Step 6: Final answer
   x = 253,566.30